Pith Number

pith:3CVRXO24

pith:2024:3CVRXO24PYYHTVFF35WVZGRQZX

not attested not anchored not stored refs pending

The Casson-Sullivan invariant for homeomorphisms of 4-manifolds

Daniel A.P. Galvin

arxiv:2405.07928 v1 · 2024-05-13 · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3CVRXO24PYYHTVFF35WVZGRQZX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Smoothing topological pseudo-isotopies of 4-manifolds

Receipt and verification

First computed	2026-07-05T08:18:36.931284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8ab1bbb5c7e3079d4a5df6d5c9a30cdc09bc9401f0c0a8ecd1a6e610f6cb936

Aliases

arxiv: 2405.07928 · arxiv_version: 2405.07928v1 · doi: 10.48550/arxiv.2405.07928 · pith_short_12: 3CVRXO24PYYH · pith_short_16: 3CVRXO24PYYHTVFF · pith_short_8: 3CVRXO24

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3CVRXO24PYYHTVFF35WVZGRQZX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d8ab1bbb5c7e3079d4a5df6d5c9a30cdc09bc9401f0c0a8ecd1a6e610f6cb936

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46a8c460e1612195e157f55a7d385db363dfe6109007ddb609c36cfb0235792d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-05-13T16:58:58Z",
    "title_canon_sha256": "468cfd84983e75c7dadc44b2332795c36ae0bff0db2f88ce9ba5ead42097a744"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.07928",
    "kind": "arxiv",
    "version": 1
  }
}